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A food container made of cardboard has a length of 31 cm and a width of 17 cm. A square is cut from each corner and the four flaps are folded up to make the container's box as shown below:

[tex]\[
\begin{tabular}{|lc|}
\hline 1 & 1 \\
\hline 1 & 1 \\
1 & 1 \\
1 & 1 \\
1 & 1 \\
\hline 1 & \\
\hline 1 & \\
\hline
\end{tabular}
\][/tex]

1. Calculate the perimeter of the cardboard.

Use the formula: [tex]\(P=2(L+b)\)[/tex]

[tex]\[
\begin{array}{l}
L = 31 \, \text{cm} \\
b = 17 \, \text{cm} \\
\end{array}
\][/tex]

Sagot :

GinnyAnsweridn
Certainly! Let's break down the problem step-by-step.

1. Understanding the Problem:
- We have a rectangular piece of cardboard.
- The dimensions of the cardboard are given as:
- Length [tex]\( L = 31 \)[/tex] cm
- Width [tex]\( W = 17 \)[/tex] cm
- We are required to calculate the perimeter of the cardboard.

2. Formula for Perimeter:
- The perimeter [tex]\( P \)[/tex] of a rectangle can be found using the formula:
[tex]\[ P = 2(L + W) \][/tex]

3. Substitute the Given Values:
- Here, [tex]\( L = 31 \)[/tex] cm and [tex]\( W = 17 \)[/tex] cm.
- Substitute these values into the formula:
[tex]\[ P = 2(31 + 17) \][/tex]

4. Calculation:
- First, perform the addition inside the parentheses:
[tex]\[ 31 + 17 = 48 \][/tex]
- Next, multiply the result by 2:
[tex]\[ P = 2 \times 48 = 96 \][/tex]

So, the perimeter of the cardboard is:

[tex]\[ P = 96 \text{ cm} \][/tex]
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